Abstract
We present an alternative method to calculate cross sections for multi-parton scattering processes in the standard model at leading order. The helicity amplitudes are computed using recursion relations in the number of particles, based on the Dyson–Schwinger equations, whereas the summation over colour and helicity configurations is performed by Monte Carlo methods. The computational cost of our algorithm grows asymptotically as 3n, where n is the number of particles involved in the process, as opposed to the n!-growth of the Feynman diagram approach. Typical results for the total cross section, the differential distributions of the invariant masses and the transverse momenta of the partons are presented and cross checked by explicit summation over colours.
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References
M.A. Dobbs et al., hep-ph/0403045
F. Maltoni, T. Stelzer, JHEP 02, 027 (2003) [hep-ph/0208156]
F. Krauss, R. Kuhn, G. Soff, JHEP 02, 044 (2002) [hep-ph/0109036]
M.L. Mangano, M. Moretti, F. Piccinini, R. Pittau, A.D. Polosa, JHEP 07, 001 (2003) [hep-ph/0206293]
M.L. Mangano, S.J. Parke, Phys. Rep. 200, 301 (1991)
F.A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, T.T. Wu, Phys. Lett. B 103, 124 (1981)
S.J. Parke, T.R. Taylor, Phys. Lett. B 157, 81 (1985)
S.J. Parke, T.R. Taylor, Nucl. Phys. B 269, 410 (1986)
Z. Kunszt, Nucl. Phys. B 271, 333 (1986)
F.A. Berends, W. Giele, Nucl. Phys. B 294, 700 (1987)
M.L. Mangano, S.J. Parke, Z. Xu, Nucl. Phys. B 298, 653 (1988)
S.J. Parke, T.R. Taylor, Phys. Rev. Lett. 56, 2459 (1986)
F.A. Berends, W.T. Giele, Nucl. Phys. B 306, 759 (1988)
M.X. Luo, C.K. Wen, JHEP 0503, 004 (2005) [hep-th/0501121]
R. Britto, B. Feng, R. Roiban, M. Spradlin, A. Volovich, Phys. Rev. D 71, 105017 (2005) [hep-th/0503198]
R. Kleiss, W.J. Stirling, Nucl. Phys. B 262, 235 (1985)
J.F. Gunion, Z. Kunszt, Phys. Lett. B 161, 333 (1985)
Z. Xu, D.-H. Zhang, L. Chang, Nucl. Phys. B 291, 392 (1987)
J.G.M. Kuijf, Ph.D. Thesis (University of Leiden, 1991) [RX-1335]
W.T. Giele, Ph.D. Thesis, (University of Leiden, 1989) [RX-1267]
F. Caravaglios, M. Moretti, Phys. Lett. B 358, 332 (1995) [hep-ph/9507237]
F. Caravaglios, M.L. Mangano, M. Moretti, R. Pittau, Nucl. Phys. B 539, 215 (1999) [hep-ph/9807570]
E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Nucl. Phys. B 391, 42 (1993)
E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Nucl. Phys. B 391, 57 (1993)
E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Nucl. Phys. B 395, 3 (1993) [arXiv:hep-ph/9211237]
E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Phys. Lett. B 302, 70 (1993)
E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Phys. Lett. B 319, 544 (1993) [hep-ph/9212280] [Addendum]
E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 308, 292 (1993)
E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 319, 544 (1993) [hep-ph/9303321] [Addendum]
E.N. Argyres, A.F.W. van Hameren, R.H.P. Kleiss, C.G. Papadopoulos, Eur. Phys. J. C 19, 567 (2001) [hep-ph/0101346]
P. Draggiotis, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 439, 157 (1998) [hep- ph/9807207]
A. Kanaki, C.G. Papadopoulos, Comput. Phys. Commun. 132, 306 (2000) [hep-ph/0002082]
A. Kanaki, C.G. Papadopoulos, in AIP Conf. Proc.. August 20, 2001. vol. 583, issue 1, pp. 169–172; in Workshop On Computer Particle Physics: (CPP 2001): Automatic Calculation for Future Colliders, ed. by Y. Kurihara, Tsukuba, Japan, KEK, 2002 (KEK-PROCEEDINGS-2002-11), pp. 20–25 [hep-ph/0012004]
P.D. Draggiotis, R.H.P. Kleiss, C.G. Papadopoulos, Eur. Phys. J. C 24, 447 (2002) [hep-ph/0202201]
G. ’t Hooft, Nucl. Phys. B 72, 461 (1974)
F. Maltoni, K. Paul, T. Stelzer, S. Willenbrock, Phys. Rev. D 67, 014026 (2003) [hep-ph/0209271]
P.D. Draggiotis, Ph.D. Thesis (University of Nijmegen, 2002)
J. Pumplin et al., JHEP 07, 012 (2002) [hep-ph/0201195]
D. Stump et al., JHEP 10, 046 (2003) [hep-ph/0303013]
C.G. Papadopoulos, Comput. Phys. Commun. 137, 247 (2001) [hep-ph/0007335]
R. Kleiss, R. Pittau, Comput. Phys. Commun. 83, 141 (1994) [hep-ph/9405257]
A. van Hameren, C.G. Papadopoulos, Eur. Phys. J. C 25, 563 (2002) [hep-ph/0204055]
R. Kleiss, W.J. Stirling, S.D. Ellis, Comput. Phys. Commun. 40, 359 (1986)
C.G. Papadopoulos, M. Worek, Nucl. Instrum. Methods A 559, 278 (2006) [hep-ph/0508291]
C.G. Papadopoulos, M. Worek, Acta Phys. Pol. B 36, 3355 (2005) [hep-ph/0510416]
T. Sjostrand et al., Comput. Phys. Commun. 135, 238 (2001) [hep-ph/0010017]
G. Corcella et al., JHEP 01, 010 (2001) [hep-ph/0011363]
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Papadopoulos, C., Worek, M. Multi-parton cross sections at hadron colliders. Eur. Phys. J. C 50, 843–856 (2007). https://doi.org/10.1140/epjc/s10052-007-0246-2
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DOI: https://doi.org/10.1140/epjc/s10052-007-0246-2